That sounds like how 13th Age handles it (but 'close' instead of 'near'), along with AEs affecting a random number of enemies at either close or far, instead of having to plot out AEs.
What it has to do with rock-paper-scissors, though, I've no idea...
- check out the thread that presents it: http://www.enworld.org/forum/showthread.php?592401-Roshambo-Style-Theatre-of-the-Mind-Combat
The Roshambo aspect is that there are 3 "actions" that can interfere with other actions: intercept beats engage, for example.